105191300 has 18 divisors (see below), whose sum is σ = 228265338. Its totient is φ = 42076480.

The previous prime is 105191299. The next prime is 105191327. The reversal of 105191300 is 3191501.

It can be written as a sum of positive squares in 3 ways, for example, as 988036 + 104203264 = 994^2 + 10208^2 .

It is a super-2 number, since 2×105191300² = 22130419191380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 525857 + ... + 526056.

Almost surely, 2^105191300 is an apocalyptic number.

105191300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105191300 is an abundant number, since it is smaller than the sum of its proper divisors (123074038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105191300 is a wasteful number, since it uses less digits than its factorization.

105191300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051927 (or 1051920 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 20.

The square root of 105191300 is about 10256.2810023907. The cubic root of 105191300 is about 472.0557305161.

The spelling of 105191300 in words is "one hundred five million, one hundred ninety-one thousand, three hundred".